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Critical Depth Given Critical Energy For Triangular Channel Calculator

Critical Depth of Triangular Channel Formula:

\[ h_t = \frac{E_t}{1.25} \]

m

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1. What is Critical Depth of Triangular Channel?

The Critical Depth of Triangular Channel is defined as the depth of flow where energy is at a minimum for a particular discharge in a triangular channel section. It represents the flow condition where specific energy is minimized for a given discharge.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ h_t = \frac{E_t}{1.25} \]

Where:

Explanation: This formula establishes the relationship between critical energy and critical depth in triangular channel sections, where the critical depth is calculated as 80% of the critical energy value.

3. Importance of Critical Depth Calculation

Details: Calculating critical depth is essential for hydraulic engineering design, flood control, irrigation systems, and understanding flow behavior in open channels. It helps determine when flow transitions between subcritical and supercritical states.

4. Using the Calculator

Tips: Enter the critical energy value in meters. The value must be positive and greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is critical energy in open channel flow?
A: Critical energy is the total energy (both potential and kinetic energy) at the point where flow transitions between subcritical and supercritical states, corresponding to the minimum specific energy for a given discharge.

Q2: Why is the constant 1.25 used in this formula?
A: The constant 1.25 is derived from the geometric properties and hydraulic characteristics specific to triangular channel sections, representing the relationship between critical energy and critical depth.

Q3: How does channel shape affect critical depth calculations?
A: Different channel shapes (rectangular, triangular, trapezoidal) have different relationships between critical depth and critical energy due to variations in cross-sectional area and hydraulic radius.

Q4: What are practical applications of critical depth calculation?
A: Critical depth calculations are used in designing weirs, spillways, culverts, and other hydraulic structures where flow control and energy dissipation are important.

Q5: Can this formula be used for non-triangular channels?
A: No, this specific formula applies only to triangular channels. Other channel shapes require different formulas based on their geometric properties.

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